What is the slope for the given points of a linear function?

(-2,5),(3,4)

A. -5
B. -1/5
C. 1/5
D. 5

The average rate of the cheetah's travel is 27.5 miles / 0.25 hours = 110 mph.

To find the average rate of the cheetah's travel, we need to calculate the total distance traveled and divide it by the total time taken.
First, let's calculate the distance traveled at 70 mph. Since the cheetah traveled for 15 minutes, we need to convert the time to hours by dividing it by 60. So, 15 minutes is equal to 15/60 = 0.25 hours.
The distance traveled at 70 mph can be calculated using the formula: distance = rate × time. Plugging in the values, we get distance = 70 mph × 0.25 hours = 17.5 miles.
Next, let's calculate the distance traveled at 40 mph. Since the cheetah traveled for the same 15 minutes, the time remains the same at 0.25 hours.
Using the same formula, distance = rate × time, we get distance = 40 mph × 0.25 hours = 10 miles.
Now, we can find the total distance traveled by adding the distances at 70 mph and 40 mph: 17.5 miles + 10 miles = 27.5 miles.
To find the average rate, we divide the total distance by the total time. The total time traveled is 15 minutes, which is equal to 0.25 hours.

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Answer:

2/3

Step-by-step explanation:

Answer:

68 is a composite number. 68 = 1 x 68, 2 x 34, or 4 x 17. Factors of 68: 1, 2, 4, 17, 34, 68. Prime factorization: 68 = 2 x 2 x 17, which can also be written 2² x

Answer:

[tex]y = \frac{5x}{2} + 15[/tex]  

I hope this helps!

Given parameters:

Distance covered  = 925 miles

Quantity of gas used  = 37 gallons

Cost of gas per gallon  = $5.909

Unknown:

Amount spend on gas = ?

The amount spent on gas would:

   Cost of gas  = cost of gas per gallon x quantity of gas used

Input the parameters and solve;

   Cost of gas  = $5.909 / gallon x 37 gallons  = $218.6

Amount spent on fuel during her trip was $218.6

In step 2, it's shown that x ∈ A ∩ B, so in step 3, it follows by the definition of set intersection that x ∈ A and x ∈ B.

Then in step 4, by definition of image of an element, both F(x) ∈ F(A) and F(x) ∈ F(B).

The rest of the proof follows.

Answer:

x=5

Step-by-step explanation:

22x+3(x-8)=101

22x+3x-24=101

25x-24=101

25x=125

x=5

Answer: 12 * square root(2)

Step-by-step explanation:

Since we know 12^2 = 144 and 144 is half of 288, therefore root 288 can be simplify into:

Square root(12^2 * 2) = root(12^2) * root(2)

= root(144) * root(2)

= 12 * square root(2)

Answer:

8%=1 hour

?=48 hours

48×8

384

1000-384

616 bacteria

Answer:

21

Step-by-step explanation:

Identify the value of each variable in the formula. Be sure to put the percent in decimal form. Be sure the units match—the rate is per hour and the time is in hours.

AA0rt=?=1000=−0.08/hour=48hours

Substitute the values in the formula.

AA=A0ert=1,000e−0.08⋅48

Compute the amount.

A≈21.49

Round to the nearest whole number.

A≈21

Answer:

30

Step-by-step explanation:

5*8= 40, 40 slices

1/4 of 40 is 10,

40-10= 30, Lee eats 1/4 of the pizzas (10 pizzas)

SO, there are 30 pizza slices left.

Answer:

30

Step-by-step explanation:

if there is 5 pizza and 8 peices, you would do 5x8. You get 40. Lee ate 30 percent of it meaning this

Answer:

0.3555

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The number which is not a factor of 12 and a multiple of 6 is 5.

A factor is a number that divides the given number without any remainder.

The factors of a number can be positive or negative. In easy words, we can can factor a number, we can write the number as a product of other whole numbers.

Given is number is not a factor of 12 and a multiple of 6.

There are many numbers which are not the factor of 12 and neither the multiple of 6. One such number is 5. If we divide 5 by 12, we get 2 as a remainder and 5 can never be a multiple of 6 unless we multiply 6 by a decimal value.

Therefore, the number which is not a factor of 12 and a multiple of 6 is 5.

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Answer:

hello..............

.......

Answer:

3/4 i believe

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

ac is 12, bc is 9. simplify and you get to 4/3

Answer:

8 dollars..? oop pls tell me if im wrong-

Answer:

80 cents

Step-by-step explanation:

to get to 100 from 20, you multiply by 5

so multiply top and bottom by 5

16 times 5 is 80

20 times 5 is 100

80/100 equals 80 cents

Hope this helps :-)

Answer:

1 9/16

Step-by-step explanation:

f(x)=x^2+2x+1

Let x = 1/4

f(1/4)=(1/4)^2+2*1/4+1

      = 1/16+ 1/2 +1

      = 1/16 + 8/16 + 1

      =1 9/16

Answer:

0.2

Step-by-step explanation:

The total universe consists of 3 + 2 + 5 = 10 paper clips.

2 of them are red.

The probability of drawing one is 2/10 = 0.2 or 1 chance in 5.

Answer:

z=2, y=-4, x=8

Step-by-step explanation:

since we know z is 2, we can plug it back into the equation to find y:

y+2*2=0

first, simplify:

y+4=0

then, subtract 4 from both sides:

y=-4

now we know what both z and y are, we can put the values back into the equation to find x:

x+2(-4)+3*2=6

first, simplify:

x-8+6=6

x-2=6

then, add 2 to both sides:

x=8

so the values are:

z=2, y=-4, x=8

Answer:

Step-by-step explanation:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\(6,2)=(x_1,y_1)\\(0,-6)=(x_2,y_2)\\\\d=\sqrt{\left(0-6\right)^2+\left(-6-2\right)^2}\\\\d=\sqrt{6^2+8^2}\\\\d=\sqrt{36+64}\\\\d=\sqrt{100}\\\\d=\sqrt{10^2}\\\\d =10[/tex]

Step-by-step explanation:

Hey there!

Given points are; (6,2) and (0,-6)

Use distance between two points.

[tex]d = \sqrt{ {x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Put all values.

[tex]d = \sqrt{( {0 - 6)}^{2} + ( { - 6 - 2)}^{2} } [/tex]

Simplify it to get answer.

[tex]d = \sqrt{ {( - 6)}^{2} + {( - 8)}^{2} } [/tex]

[tex]d = \sqrt{36 + 64} [/tex]

[tex]d = \sqrt{100} [/tex]

[tex]d = 10[/tex]

Therefore the distance between two points is 10 units.

Hope it helps...

The probability of a prime number or a number greater than 3 coming up is given as follows:

5/6.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:

Hence the probability is given as follows:

5/6.

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Answer:

You add them together to get 75 degrees then you take 180-75 to get 105 so you will subtract the sum of the two given angles from 180°. So your answer is 105 degrees.

Step-by-step explanation:

Answer:

2.4 hours to run 12 miles.

Step-by-step explanation:

[tex]\frac{7.5}{1.5} = \frac{12}{t} = 2.4[/tex]

the proportion is 5:1

for every hour, jose runs 5 miles

Answer:

heres most of my answers execpt the last one cause i didnt do it yet....

Step-by-step explanation:

Step 1: Finding the part-to-part and part-to-whole ratios  

To make his special energy drink, Jerome uses 8 cups of water and 3 cups of drink mix.  

a. What is the ratio of water to drink mix? (2 points)  

   8:3  

b. What is the ratio of drink mix to water? (2 points)  

   3:8  

c. What is the ratio of drink mix to mixed energy drink? (2 points)  

       3:8  

d. What is the ratio of water to mixed energy drink? (2 points)  

   8:8  

Step 2: Testing Jerome’s brother’s approach  

Jerome’s brother told him to add one cup of water for every one cup of drink mix he added to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.  

a. Complete the table below. (2 points)  

 Original Ratio  +1  +2  +3  +4  

Drink mix (cups)  3  4  5  6    7  

Water (cups)  8  9  10  11  12  

b) Is Jerome’s brother correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)  

Jerome’s brother is wrong because in Jerome’s original mix his ratio is 8:3 and Jerome’s brother is saying to add 1 cup of water to the mix that would usually take 2.6666….and that would just make the drink powdery and not taste very well.  

Step 3: Testing Jerome’s sister’s pproach  

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.  

a. Complete the table below. (2 points)  

 Original Ratio  ×1  ×2  ×3  ×4  

Drink mix (cups)  3     3   6  9          12  

Water (cups)  8    8  16  24    

       32

Is Jerome’s sister correct? Explain why or why not, using examples from the ratio table to support your argument. (4 points)  

Jerome’s sister is correct because in Jerome’s original ratio he has 8:3 and his sister is saying to multiply the ratio of water to drink mix and still increase the amount of energy drink.  

Page Break  

Step 4: Calculating the right recipe for Jerome  

Twenty-two people are running in tomorrow’s road race and Jerome thinks they will each want two cups of energy drink.  

a. How many cups of energy drink does Jerome need to make?  

(1 point)  

44 cups of water  

How much water and how much drink mix should Jerome use to make enough energy drink for all the runners? Create a table to show your work and explain your results in writing. (4 points)  

                       4 8 12 16 20 24

Cups of mix 3 6 9 12 15 18

cups of water 8 16 24 32 40 48

                         X1   X2  X3   X4  X5    X6

Hope this helps :3

Answer:

c^2 = a^2 + b^2

Step-by-step explanation:

for a right angle triangle ( has a 90 degree angle)

the formula is

c^2 = a^2 + b^2

c is the hypotenuse

a is the adjacent

b is the opposite

Answer:

2.2

Step-by-step explanation:

41/9 is 2.15789473684

since you need it to the nearest tenth, just get rid of the other numbers past the five, you will then have 2.15

since you are looking for the nearest tenth, you need to look at the 2nd number after the decimal place to determine whether it rounds up or down. ( a helpful rule is 5 or above, give it a shove. 4 or below, leave it alone. because the 2nd digit is 5 you need to give the 1 a shove and turn it into a 2. Since you gave the 5 a shove, you need to get rid of that 2nd digit in your answer.

FINAL ANSWER: 2.2

Answer:

41.20 or 41.2

Step-by-step explanation:

when you round it to the tenths place you get 20 instead of 19 so therefore it is 41.20 or 41.2

Answer:

=3t3−2t2+174t+136

Step-by-step explanation:

Let's simplify step-by-step.

18(8+9t)−(t2+4)(2−3t)

Distribute:

=(18)(8)+(18)(9t)+3t3+−2t2+12t+−8

=144+162t+3t3+−2t2+12t+−8

Combine Like Terms:

=144+162t+3t3+−2t2+12t+−8

=(3t3)+(−2t2)+(162t+12t)+(144+−8)

=3t3+−2t2+174t+136

Answer:  a, b, c, & d

Step-by-step explanation:

    18(8 + 9t) - (t² + 4)(2 - 3t)

= 144 + 162t - (2t² - 3t³ + 8 - 12t)

= 144 + 162t - 2t² + 3t³ - 8 + 12t

= 3t³ - 2t² + 174t + 136

a) The simplified expression is a polynomial.   TRUE (there are many terms)

b) The simplified expression has a constant term. TRUE (136 is the constant)

c) The simplified expression is cubic. TRUE (the degree is 3)

d) The simplified expression has four terms. TRUE

e) The simplified expression is a trinomial.  FALSE (there are 4 terms, not 3)

Answer:

[tex]c^{2}+6\\ 4^{2} =16\\16+6= 22[/tex]

Step-by-step explanation:

Answer:

The relationships which are true are

C>B and A>B

Step-by-step explanation:

With the given statements about the value of A, B and C it shows that C is indeed bigger than B and A is also bigger then B. The sign must open its mouth on the side which is bigger. :)